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# Title: Lectures De Potentia Restitutiva, Or Of Spring (shelfmarks Leibn. Marg. 105, Stück 1; Leibn. Marg. 105)
# Folio 18, page id 859264114:0024
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C+d
derrees ot impulse, that is, Are in the Arst SpaCC re
turned, chree inthe second, and one in the third.
Sobene ten spaces it receires in its Whole return
onc hundred deprees ot impulle, to wit, ninetcen in
thefrst, seventeen in thelocond, Eeccen in chechird,
thirteen in the Fourth, eleren in thettch, nine in the
sixth, seven in the serenth, sre in the cistth, three
in cheminth, and one in the centh.
Nom che comparatire Velocities ot any bodymo-
red are in subduplicate proportion to he aggregates
Or Cums oF the porversby whichitismored, cherctore
che Velocities of the hole spacesreturned are alvars
in che lame proportions rith chole spaces, they beins
boch subduplicate to the porers, and consequently
aIl che times MaII DC equal.
Next For the Velocities oF tho parts oF che space
recurned cher will be alrazs proportionate to che
roots oF the spgregates of the porvers impressed
in erery oe thele lpaces; for in che lale intance,
irhere the Spring is supposed bent ten (PaCCS,
the Velocier ac the end ot the Arsc Space returned
ThallbC aS the roDt oF 19. at thc end ot the lecond
astheRootOt 36. thatis, oF 19 F 17. at thc end ot
thC third as the ROOE OF SF. that i5 OF 19 f 17
F. 15. AF thc end oF the Fourth as thC ROOE
OF 64. ThatisOE 19, f 17 7 15 F 13. ac the end oF
the centh, or Wrhole as the Root ot 100. that i5 a5
N 19 + 17 F 15 Y 13 f TC f 9. f 7 + 5. +3
FP, Cqual 10 100.
No Cincethe Velocity is in the Pame provortion
totheroot of thespace, asthe root oF chespace is to
thetime, it is calie to determine the particular time
in irhich ereey onc of chele spaces are passed For
diridins che spaces by che Velocities correspondins
thequotients girethe parriculartimes.
Foexplain chismore intelligibly, let A in the fourth
fixure reprelent he end ota Spcins nOt benE, orAt LeaAE
COHM.